Haris Shaiful Bahari Block C 10th Oct, 2008Big IdeaMany things in our world are mathematically similar and we can use this to understand and describe the world around us.
ESSENTIAL QUESTION
How can I make a drawn figure larger?
NOTES:
Problem 1.1 INV. 1 Page 7 A.) Use the method described on the previous page (page 6) to enlarge the figure on Labsheets 1.1 and 1.2. Labsheet 1.1Labsheet 1.1 drawing Labsheet 1.2Labsheet 1.2 drawing B.)Compare each original figure to the enlarged image you made. Make a detailed list about what is the same and what is different about them. Be sure to consider:
the lengths of the line segments
the areas
the angles
the general shape of the figure
Similarities
Differences
The shape
Size
Design
Length
Angle
Width
Lines
Area
Symbols
Perimeter
Statements: *The Shape is similar because both have the same shapes like in 1.1 the two pictures have the hat, triangle and the two feet while in 1.2 it has the same shape. *The design is the same because both have the same shape, lines and angles. *The angle is the same because if u look at 1.2 the rectangle on corner ‘d’ it’s the same degree as the original one. *The lines are the same because look at the man all the lines are in place and non of them are going the wrong way. *The symbols are the same because look at the 1.2 work and the labsheet 1.2 it’s the same symbols on the shape. *The size is different because by using two rubber bands it doubles in size so the original one are smaller than the drawn ones. *The length is different because it also got enlarged so the length will become longer. *The width is different because like the length it also got enlarged so it will also get longer. *The area is different because it the area on the original will get enlarged by two then the drawn on will be different too. *The perimeter will be different because the lengths and the widths will become longer so the perimeter will be affected.
Follow up:
1.) Name each pair of corresponding sides and each corresponding angles in triangles ABC and A'B'C'. Corresponding sides: a.a'; b,b'; c,c' Corresponding angles: a,a'; b,b'; c,c'
*They are all corresponding sides and angles, all are the same.
2.a) Copy triangle ABC onto a sheet of paper. Choose an anchor point, and enlarge the triangle with your stretcher.
2.b) Predict what would happen if you moved the anchor point up or down and further away from triangle ABC and then used your stretcher to enlarge it. Test your prediction by choosing a new anchor point and enlarging the triangle. Is your prediction correct?
I predict that if you move the stretcher further away from the triangle the new image would be bigger and it would be like adding another rubber-band. It is correct because i tested it out and it was bigger.
2.c) Predict what would happen if you moved the anchor point up or down and closer to triangle ABC and then used your stretcher to enlarge it. Test your prediction. Is it correct?
I predict that the new triangle would be smaller because it's not stretching and it is not shrinking but itr is only getting abit bigger. Yes, my prediction is correct, i tested it out and the result came out as I expected, small.
Block C
10th Oct, 2008Big IdeaMany things in our world are mathematically similar and we can use this to understand and describe the world around us.
ESSENTIAL QUESTION
How can I make a drawn figure larger?
NOTES:
Problem 1.1 INV. 1 Page 7
A.) Use the method described on the previous page (page 6) to enlarge the figure on Labsheets 1.1 and 1.2.
Labsheet 1.1 Labsheet 1.1 drawing
Labsheet 1.2 Labsheet 1.2 drawing
B.) Compare each original figure to the enlarged image you made. Make a detailed list about what is the same and what is different about them. Be sure to consider:
Statements:
*The Shape is similar because both have the same shapes like in 1.1 the two pictures have the hat, triangle and the two feet while in 1.2 it has the same shape.
*The design is the same because both have the same shape, lines and angles.
*The angle is the same because if u look at 1.2 the rectangle on corner ‘d’ it’s the same degree as the original one.
*The lines are the same because look at the man all the lines are in place and non of them are going the wrong way.
*The symbols are the same because look at the 1.2 work and the labsheet 1.2 it’s the same symbols on the shape.
*The size is different because by using two rubber bands it doubles in size so the original one are smaller than the drawn ones.
*The length is different because it also got enlarged so the length will become longer.
*The width is different because like the length it also got enlarged so it will also get longer.
*The area is different because it the area on the original will get enlarged by two then the drawn on will be different too.
*The perimeter will be different because the lengths and the widths will become longer so the perimeter will be affected.
Follow up:
1.) Name each pair of corresponding sides and each corresponding angles in triangles ABC and A'B'C'.Corresponding sides: a.a'; b,b'; c,c'
Corresponding angles: a,a'; b,b'; c,c'
*They are all corresponding sides and angles, all are the same.
2.a) Copy triangle ABC onto a sheet of paper. Choose an anchor point, and enlarge the triangle with your stretcher.
2.b) Predict what would happen if you moved the anchor point up or down and further away from triangle ABC and then used your stretcher to enlarge it. Test your prediction by choosing a new anchor point and enlarging the triangle. Is your prediction correct?
I predict that if you move the stretcher further away from the triangle the new image would be bigger and it would be like adding another rubber-band. It is correct because i tested it out and it was bigger.
2.c) Predict what would happen if you moved the anchor point up or down and closer to triangle ABC and then used your stretcher to enlarge it. Test your prediction. Is it correct?
I predict that the new triangle would be smaller because it's not stretching and it is not shrinking but itr is only getting abit bigger. Yes, my prediction is correct, i tested it out and the result came out as I expected, small.